25030 octal to binary

Here we will show you how to convert the octal number 25030 to a binary number. First note that the octal number system has eight different digits (0 1 2 3 4 5 6 7) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 25030 from octal to binary are explained below.

Step 1)
Multiply the last digit in 25030 by 8⁰, multiply the second to last digit in 25030 by 8¹, multiply the third to last digit in 25030 by 8², multiply the fourth to last digit in 25030 by 8³, and so on, until all the digits are used:

0 × 8⁰ = 0
3 × 8¹ = 24
0 × 8² = 0
5 × 8³ = 2560
2 × 8⁴ = 8192

Step 2)
Next, we add up all the products we got from Step 1, like this:

0 + 24 + 0 + 2560 + 8192 = 10776

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

10776 ÷ 2 = 5388 with 0 remainder
5388 ÷ 2 = 2694 with 0 remainder
2694 ÷ 2 = 1347 with 0 remainder
1347 ÷ 2 = 673 with 1 remainder
673 ÷ 2 = 336 with 1 remainder
336 ÷ 2 = 168 with 0 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 25030 octal to binary:

25030 octal = 10101000011000 binary

Octal to Binary Converter
Here you can convert another octal number to binary. Remember, octal numbers only include digits 0 through 7.

25031 octal to binary
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